How do you solve #4^ { 3x } = 512#?

1 Answer
EZ as pi · Sanjay Kamath
Oct 24, 2016

Express as powers of 2.

#x = 3/2#

Explanation:

=> #(2^2)^(3x) = 512" "larr# it helps to recognise the powers of 2

=> #2^(2*3x)# = #2^9#

=> #6x = 9 " "# (Equating the exponents - the bases are equal)

=> #x = 9/6#

= #3/2# Answer.

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